Math 2C Unit 5 Factoring Quadratics

GCF

100

Factor

3b² + b

b(3b + 1)

200

Factor

4x² - 24x

4x(x - 6)

300

Factor

12x + 20x² 

4x(3 + 5x)

400

Factor

5x³ + 10x² + 20

5(x³ + 2x² + 4)

Trinomials a=1

100

Factor

x² + 5x + 6

(x+3)(x+2)

200

Factor 

x² + 8x - 9 

(x - 1)(x + 9)

300

Factor

x² - 7x + 12

(x - 3)(x - 4)

Trinomials a≠1

100

Factor

2x² + 5x - 3

(2x - 1)(x + 3)

200

Factor

8x² + 26x + 15

(4x + 3)(2x + 5)

300

Factor

3n² - 8n + 4

(3n - 2)(n - 2)

400

Factor

6x² + 37x + 6

(6x+1)(x+6)

500

Factor

4x² - 11x - 21

(4x + 3)(x - 7)

GCF/T-Chart & Special Cases

100

Factor

x² - 16x + 64

(x - 8)²

200

Factor

t² - 121

(t - 11)(t + 11)

300

Factor

36x² - 9

9(2x+1)(2x-1)

400

Factor

3x³ - 7x² - 6x

x(3x + 2)(x - 3)

500

Factor

15x² - 27x - 6

3(5x + 1)(x - 2)